Question

A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be less than 48 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle.

Use "b" for the base length of the triangular logo.

Answer 1

Explanation:

We know that the area of a triangle is given by :-

Let b be the base (in feet) of the triangle .

it is given that , The school wants the height of the triangle to be 6 feet.

Then, the area of triangle will be :-

(1)

The area of the logo must be at most (less than or equal to) 15 square feet.

i.e. Area ≤ 15 square feet (2)

Now, Substitute the value of A from (1) into (2) , we get

Divide both sides by 3 , we get